105891840 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 28164096.

The previous prime is 105891823. The next prime is 105891853. The reversal of 105891840 is 48198501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105891840² = 22426163557171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105891795 and 105891804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276289 + ... + 276671.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^105891840 is an apocalyptic number.

105891840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

105891840 is an abundant number, since it is smaller than the sum of its proper divisors (271503360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105891840 is an equidigital number, since it uses as much as digits as its factorization.

105891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105891840 is about 10290.3760864217. The cubic root of 105891840 is about 473.1013256071.

The spelling of 105891840 in words is "one hundred five million, eight hundred ninety-one thousand, eight hundred forty".